Answer:
Explanation:
The options are :
A. x + 30 < 3x
B. x - 5 < 2x - 35
C. x divided by 4 < x - 12
D. 2x < x + 22
Option (A) :
x + 30 < 3x
Put x = 20 on both sides
LHS = 20 + 30 = 50
RHS = 3(20) = 60
50<60
The option is correct.
Option (B) :
x - 5 < 2x - 35
Put x = 20 on both sides
LHS = x-5 = 20-5 = 15
RHS = 2x - 35 = 2(20) -35 = 5
15<5
The option is incorrect.
Option (C) :
x/4 < x - 12
Put x = 20 on both sides
LHS = 20/4 = 5
RHS = x - 12 = 20-12 = 8
5<8 (correct)
Option (D) :
2x < x + 22
Put x = 20 on both sides
LHS = 2x = 2(20) = 40
RHS = x+22 = 20 + 22 = 44
40<44
It is true. The option is correct.
Hence, option A, B and D are correct.